Problem
NT-B2-M06-P005 Twos
#5
★★☆☆☆ Level 2 of 5
Find \(v_2(3^{100}-1)\).
Use the formula for \(p=2\).
\(v_2(3^{100}-1)=v_2(2)+v_2(4)+v_2(100)-1=1+2+2-1=4\).
First use of the special case \(2\).